A circle is described around the square and a circle is inscribed in the square. Find the area of a circular ring if the area of the square is 16 cm ^ 2.
Square side a = √S = √16 = 4 (cm)
Radius of the circumscribed circle:
R = a / √2 = 4 / √2 = 2 √2 (cm)
Area of the circumscribed circle
S = P R² = P (2√2) ² = 8 P (cm²)
Inscribed circle radius:
r = a / 2 = 2 (cm);
S ‘= P r² = 4 P (cm²);
S ” = 8 P – 4 P = 4 P = 12.56 (cm²)
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